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Finding the Third Proportional to 10,684 and 16,585

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Solution

The third proportional to 10,684 and 16,585 is: 25,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 16,585 = 16,585 : x
  2. Step 2: Convert to fraction form
    10,684/16,585 = 16,585/x
  3. Step 3: Cross multiply
    10,684x = 16,585 × 16,585
  4. Step 4: Simplify right side
    10,684x = 275,062,225
  5. Step 5: Solve for x
    x = 275,062,225/10,684
  6. Step 6: Final answer
    x = 25,745.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.